90646510500 has 576 divisors, whose sum is σ = 360601113600. Its totient is φ = 18655488000.

The previous prime is 90646510483. The next prime is 90646510519. The reversal of 90646510500 is 501564609.

90646510500 is a `hidden beast` number, since 9 + 0 + 646 + 5 + 1 + 0 + 5 + 0 + 0 = 666.

It is a super-2 number, since 2×90646510500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16786801 + ... + 16792199.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 2^90646510500 is an apocalyptic number.

90646510500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90646510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300556800).

90646510500 is an abundant number, since it is smaller than the sum of its proper divisors (269954603100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90646510500 is a wasteful number, since it uses less digits than its factorization.

90646510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 90646510500 in words is "ninety billion, six hundred forty-six million, five hundred ten thousand, five hundred".